Aksoy, Ümit

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Profile URL
https://hdl.handle.net/20.500.14411/6803
Name Variants
U., Aksoy
A., Umit
Ü., Aksoy
Aksoy,U.
Aksoy,Umit
Aksoy, Umit
Umit, Aksoy
U.,Aksoy
Ü.,Aksoy
Ümit Aksoy
A.,Umit
Aksoy U.
Aksoy, Ümit
Aksoy,Ü.
Ümit, Aksoy
A., Ümit
A.,Ümit
Aksoy, U.
Aksoy, Ue.
Aksoy, Ue
Job Title
Profesör Doktor
Email Address
umit.aksoy@atilim.edu.tr
Main Affiliation
Mathematics
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WoS Researcher ID

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Scholarly Output

42

Articles

33

Views / Downloads

241/336

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

731

Scopus Citation Count

715

Patents

0

Projects

0

WoS Citations per Publication

17.40

Scopus Citations per Publication

17.02

Open Access Source

6

Supervised Theses

2

JournalCount
Complex Variables and Elliptic Equations6
Filomat3
Integral Transforms and Special Functions2
Applied and Computational Mathematics2
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas2
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Subject: Dirichlet problem

Scholarly Output Search Results

Now showing 1 - 5 of 5
  • Thumbnail Image
    Conference Object
    Citation - WoS: 13
    Citation - Scopus: 18
    Dirichlet Problems for the Generalized N-Poisson Equation
    (Springer International Publishing, 2010) Aksoy,Ü.; Çelebi,A.O.
    Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator. © 2009 Birkhäuser Verlag Basel/Switzerland.
  • Thumbnail Image
    Article
    Dirichlet-Type Problems for n-poisson Equation in Clifford Analysis
    (Taylor & Francis Ltd, 2022) Aksoy, Umit; Celebi, A. Okay; Okay Çelebi, A.
    Iterated Dirichlet problem, also called as Riquier or Navier problem, and polyharmonic Dirichlet problem are studied for n-Poisson equation in Clifford analysis using iterated polyharmonic Green function and polyharmonic Green-Almansi type function appropriate for the boundary conditions of the problems.
  • Thumbnail Image
    Book Part
    Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis
    (Springer Science and Business Media Deutschland GmbH, 2022) Aksoy,Ü.; Çelebi,A.O.
    An integral representation formula in terms of the bi-Laplacian operator is obtained and Dirichlet problem for the bi-Poisson equation is solved in Clifford analysis. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
  • Thumbnail Image
    Conference Object
    Citation - WoS: 13
    Dirichlet Problems for the Generalized n-poisson Equation
    (Birkhauser verlag Ag, 2010) Aksoy, U.; Celebi, A. O.
    Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator.
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 9
    Dirichlet Problem for a Generalized Inhomogeneous Polyharmonic Equation in an Annular Domain
    (Taylor & Francis Ltd, 2012) Aksoy, U.; Celebi, A. O.
    In this article, we investigate the solvability of the Dirichlet problems in ring domains for elliptic linear complex partial differential equations having polyharmonic operators as main parts. First, we give higher order Green functions as fundamental solutions of the homogeneous problems using the iteration of harmonic Green functions for ring domains. Second, we introduce some classes of operators related to Dirichlet problems together with their basic properties. Next, we transform the original problems into equivalent singular integral equations. Finally, solvability of the problems is discussed by defining the adjoint problems and using Fredholm alternative.